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Finding the Fourth Proportional to 587.06, 881.01 and 221.84

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Solution

The fourth proportional to 587.06, 881.01 and 221.84 is: 332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.06 : 881.01 = 221.84 : x
  2. Step 2: Convert to fraction form
    587.06/881.01 = 221.84/x
  3. Step 3: Cross multiply
    587.06x = 881.01 × 221.84
  4. Step 4: Simplify right side
    587.06x = 195,445.46
  5. Step 5: Solve for x
    x = 195,445.46/587.06
  6. Step 6: Final answer
    x = 332.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.